Answer:
6 pieces
<em>18 divided by 3 equals 6. :) Hope this helps. </em>
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Answer:
the balloon is 60 ft above the boy and the boy is 45 ft from where he passed the balloon
Step-by-step explanation:
(5*3)+45 is the balloon
15*3 is the boy
Answer: correct: B. If the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant.
Step-by-step explanation:
the test of the statistical p helps us to find the probability that a statistical value occurs in the null hypothesis, in the exercise we obtain a value of p of 0.21, we assume that for it to have statistical significance the value must be less than 0.05 which is constant, if this result is higher it indicates that there is no statistically significant evidence
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
The Gross Domestic Product measures the value of economic activity within a country. Strictly defined, GDP is the sum of the market values, or prices, of all final goods and services produced in an economy during a period of time.
Hope this helps!